Search a number
-
+
480876748774336 = 2647159865940417
BaseRepresentation
bin110110101010110101101011…
…1110010101001101111000000
32100001122100221102121120121001
41231111223113302221233000
51001012141040141234321
64422423421220341344
7203201125055505415
oct15525532762515700
92301570842546531
10480876748774336
1112a249758285652
1245b25176244854
1317842637a28675
1486a67b75bc10c
153a8da93babc91
hex1b55ad7ca9bc0

480876748774336 has 28 divisors (see below), whose sum is σ = 974542772788128. Its totient is φ = 235322664292352.

The previous prime is 480876748774327. The next prime is 480876748774351. The reversal of 480876748774336 is 633477847678084.

It is a super-3 number, since 3×4808767487743363 (a number of 45 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (82) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 480876748774336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 79932967201 + ... + 79932973216.

Almost surely, 2480876748774336 is an apocalyptic number.

It is an amenable number.

480876748774336 is an abundant number, since it is smaller than the sum of its proper divisors (493666024013792).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

480876748774336 is a wasteful number, since it uses less digits than its factorization.

480876748774336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159865940476 (or 159865940466 counting only the distinct ones).

The product of its (nonzero) digits is 25491013632, while the sum is 82.

The spelling of 480876748774336 in words is "four hundred eighty trillion, eight hundred seventy-six billion, seven hundred forty-eight million, seven hundred seventy-four thousand, three hundred thirty-six".

Divisors: 1 2 4 8 16 32 47 64 94 188 376 752 1504 3008 159865940417 319731880834 639463761668 1278927523336 2557855046672 5115710093344 7513699199599 10231420186688 15027398399198 30054796798396 60109593596792 120219187193584 240438374387168 480876748774336